In Problems 43–54, calculate the definite integral , given that ∫ 1 4 x d x = 7.5 ∫ 1 4 x 2 d x = 21 ∫ 4 5 x 2 d x = 61 3 46. ∫ 1 4 ( 7 x − 2 x 2 ) d x
In Problems 43–54, calculate the definite integral , given that ∫ 1 4 x d x = 7.5 ∫ 1 4 x 2 d x = 21 ∫ 4 5 x 2 d x = 61 3 46. ∫ 1 4 ( 7 x − 2 x 2 ) d x
Solution Summary: The author calculates the value of the definite integral displaystyle 'underset' 1overset4int.
In Problems 43–54, calculate the definite integral, given that
∫
1
4
x
d
x
=
7.5
∫
1
4
x
2
d
x
=
21
∫
4
5
x
2
d
x
=
61
3
46.
∫
1
4
(
7
x
−
2
x
2
)
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
For each dif erential equation in Problems 1–21, find the general solutionby finding the homogeneous solution and a particular solution.
Please DO NOT YOU THE PI method where 1/f(r) * x. Dont do that.
Instead do this, assume for yp = to something, do the 1 and 2 derivative of it and then plug it in the equation to find the answer.
10. Evaluate
a.
b.
3dx
x(x+3)
3 ln x (x + 3) + C
¹ X
In
3
x+3
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY